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Finding the Third Proportional to 53,829 and 115,885

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Solution

The third proportional to 53,829 and 115,885 is: 249,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 115,885 = 115,885 : x
  2. Step 2: Convert to fraction form
    53,829/115,885 = 115,885/x
  3. Step 3: Cross multiply
    53,829x = 115,885 × 115,885
  4. Step 4: Simplify right side
    53,829x = 13,429,333,225
  5. Step 5: Solve for x
    x = 13,429,333,225/53,829
  6. Step 6: Final answer
    x = 249,481.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.